None local that I am aware of.  However, several national agencies send ladies to Cleveland on a regular basis and they are a great place to start.  Check the Ohio ads

The Police (cleveland mainly) but some suburban...

police departments did away with most of the legit agencies in NE Ohio years ago.

Back in 1997 (or so) an escort from an agency was killed by a "client".  The case was a big deal!!!!!

Apparently the husband did not know she was an escort (you be the judge on that).  And she had a 2 year old kid.   TV stations covered it non stop.  Cops looked real bad and God forbid that happens  They may actually have to do some fucking work.  I mean harassing the shit out of innocent Blacks and Hispanics is work but let's be real not bad pay if you can get it.

Case got alot of attention and since then the PD has cracked down hard on all agencies based in the Cleveland area.  When one would pop up advertising in the back of the free weeklies the cops were on their ass like white on rice.  

Not too mention if you get busted the plain dealer will DEFINITELY put your picture on their website along with your address.  No fucking thanks to that publicity.

There are a couple of independent providers in Cleveland and you should be able to get screened fairly easy with proper info.  Try Chase Cameron or Sicilia Capri solid Providers.  

Now if you want to fuck around on backpage then you get what you pay for my friend.

Go to Independence, a suburb of Clevleand. It is a main hub for agencies.